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4x-21-5x>-6
Subtract 5x from both sides.
-x-21>-6
Combine 4x and -5x to get -x.
-x>-6+21
Add 21 to both sides.
-x>15
Add -6 and 21 to get 15.
x<-15
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.